8) Demand is given by QD = 6000 – 50P. Domestic supply is QS = 25P. Foreign producers can
supply any quantity at a price of $40.
a. If foreign producers can sell in the domestic market, what is the equilibrium price? What is
the equilibrium quantity? How much is sold by domestic and foreign producers, respectively?
b. Under domestic government pressure, foreign producers voluntarily agree to restrict their
goods. What will happen to the price and quantity? What will happen to the amount that
domestic producers supply? What will happen to revenues of domestic and foreign producers?
9) You are told that the price elasticity of demand for widgets is -0.75, the income elasticity of
widgets is 2, and the cross-price elasticity of widgets and gadgets is 4. Carefully explain what
information you can gather from each of these figures.
10) If a good’s demand function is Q = 30 – 3P, then calculate the price elasticity of demand
when
a. good price is $3 using the point elasticity formula
b. good price is $4 using the point elasticity formula
c. good price decreases from $4 to $3, using the arc elasticity formula
d. good price is $5, using the point elasticity formula
e. good price increases from $4 to $5, using the arc elasticity formula
11) If a price of corn is $3.00 a bushel, 5,000 bushels would be demanded. If the price rises to
$4.00 a bushel, 4,000 bushels would be demanded.
a. What is the (arc) price elasticity of demand?
b. Based on this answer, if the price of corn rose to $5.00 a bushel, what would be the demand
for corn?
c. If the price of corn decreased from $4.00 to $3.00 a bushel, what would be the change in total
revenue for sellers of corn?
d. If the price of corn increased from $4.00 to $5.00 a bushel, what would be the change in total
revenue for sellers of corn?